Question
are part of the spark coil of an automobile. When the current in one solenoid falls from $6.0$ A to zero in $2.5 \mathrm{~ms}$, an emf of $30 \mathrm{kV}$ is induced in the other solenoid. What is the mutual inductance $M$ of the solenoids?
Step 1
The current changes from 6 A to 0 A in a time interval of 2.5 ms. So, the rate of change of current, denoted as $\frac{dI_1}{dt}$, is given by: \[\frac{dI_1}{dt} = \frac{6 - 0}{2.5 \times 10^{-3}} = 2400 \, \text{A/s}\] Show more…
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Two solenoids are part of the spark coil of an automobile. When the current in one solenoid falls from $6.0$ A to zero in $2.5 \mathrm{~ms}$, an emf of $26 \mathrm{kV}$ is induced in the other solenoid. What is the mutual inductance $M$ of the solenoids?
Two solenoids are part of the spark coil of an automobile. When the current in one solenoid falls from 6.0 A to zero in 2..5 $\mathrm{ms}$ , an emf of 30 $\mathrm{kV}$ is induced in the other solenoid. What is the mutual inductance $M$ of the solenoids?
One solenoid is centered inside another. The outer one has a length of 50.0 $\mathrm{cm}$ and contains 6750 coils, while the coaxial inner solenoid is 3.0 $\mathrm{cm}$ long and 0.120 $\mathrm{cm}$ in diameter and contains 15 coils. The current in the outer solenoid is changing at 49.2 A/s. (a) What is the mutual inductance of these solenoids? (b) Find the emf induced in the innner solenoid.
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